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    An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture

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    Type
    Article
    Authors
    Dyson, R. J.
    Green, J. E. F.
    Whiteley, J. P.
    Byrne, H. M.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2015-09-02
    Online Publication Date
    2015-09-02
    Print Publication Date
    2016-06
    Permanent link to this record
    http://hdl.handle.net/10754/597538
    
    Metadata
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    Abstract
    © 2015 Springer-Verlag Berlin Heidelberg Mechanical interactions between cells and the fibrous extracellular matrix (ECM) in which they reside play a key role in tissue development. Mechanical cues from the environment (such as stress, strain and fibre orientation) regulate a range of cell behaviours, including proliferation, differentiation and motility. In turn, the ECM structure is affected by cells exerting forces on the matrix which result in deformation and fibre realignment. In this paper we develop a mathematical model to investigate this mechanical feedback between cells and the ECM. We consider a three-phase mixture of collagen, culture medium and cells, and formulate a system of partial differential equations which represents conservation of mass and momentum for each phase. This modelling framework takes into account the anisotropic mechanical properties of the collagen gel arising from its fibrous microstructure. We also propose a cell–collagen interaction force which depends upon fibre orientation and collagen density. We use a combination of numerical and analytical techniques to study the influence of cell–ECM interactions on pattern formation in tissues. Our results illustrate the wide range of structures which may be formed, and how those that emerge depend upon the importance of cell–ECM interactions.
    Citation
    Dyson RJ, Green JEF, Whiteley JP, Byrne HM (2015) An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture. Journal of Mathematical Biology. Available: http://dx.doi.org/10.1007/s00285-015-0927-7.
    Sponsors
    We thank A.M. Soto and C. Sonnenschein (Tufts University) for the initial discussions which led to the development of the model, and D.J. Smith (University of Birmingham) for assistance with aspects of the numerics. RJD gratefully acknowledges the support of the University of Birmingham’s System Science for Health initiative and the hospitality of the School of Mathematical Sciences at the University of Adelaide. JEFG is supported by a Discovery Early Career Researcher Award (DE130100031) from the Australian Research Council. The work of HMB was supported in part by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
    Publisher
    Springer Nature
    Journal
    Journal of Mathematical Biology
    DOI
    10.1007/s00285-015-0927-7
    PubMed ID
    26328534
    ae974a485f413a2113503eed53cd6c53
    10.1007/s00285-015-0927-7
    Scopus Count
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